First off, the deed has nothing to do with the mortgage. It just pertains to who has rights and responsibilities if something were to happen to to the homeowner. Ask an attorney to explain all the different / pros and cons of each type of deed. I am sure there are issues you have not thought of. Then give the title company your answer once you have decided. This is important so both of you are protected.
If you need a real estate attorney, I know a few. Call me at 440-231-0977